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Simplifying -4(2p + 2) + -38 = 5(4p + 2) Reorder the terms: -4(2 + 2p) + -38 = 5(4p + 2) (2 * -4 + 2p * -4) + -38 = 5(4p + 2) (-8 + -8p) + -38 = 5(4p + 2) Reorder the terms: -8 + -38 + -8p = 5(4p + 2) Combine like terms: -8 + -38 = -46 -46 + -8p = 5(4p + 2) Reorder the terms: -46 + -8p = 5(2 + 4p) -46 + -8p = (2 * 5 + 4p * 5) -46 + -8p = (10 + 20p) Solving -46 + -8p = 10 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -46 + -8p + -20p = 10 + 20p + -20p Combine like terms: -8p + -20p = -28p -46 + -28p = 10 + 20p + -20p Combine like terms: 20p + -20p = 0 -46 + -28p = 10 + 0 -46 + -28p = 10 Add '46' to each side of the equation. -46 + 46 + -28p = 10 + 46 Combine like terms: -46 + 46 = 0 0 + -28p = 10 + 46 -28p = 10 + 46 Combine like terms: 10 + 46 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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